Pith Number

pith:KTYLSPAR

pith:2025:KTYLSPARHVMSZGNH4NMDAJ4NSX

not attested not anchored not stored refs pending

Learning Nash Equilibrial Hamiltonian for Two-Player Collision-Avoiding Interactions

Lei Zhang, Siddharth Das, Tanner Merry, Wenlong Zhang, Yi Ren

arxiv:2503.07013 v2 · 2025-03-10 · cs.RO · cs.GT · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTYLSPARHVMSZGNH4NMDAJ4NSX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T10:35:47.525375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54f0b93c113d592c99a7e35830278d95e5a5cc1ea4dbd666b51f7f33f642a935

Aliases

arxiv: 2503.07013 · arxiv_version: 2503.07013v2 · doi: 10.48550/arxiv.2503.07013 · pith_short_12: KTYLSPARHVMS · pith_short_16: KTYLSPARHVMSZGNH · pith_short_8: KTYLSPAR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KTYLSPARHVMSZGNH4NMDAJ4NSX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 54f0b93c113d592c99a7e35830278d95e5a5cc1ea4dbd666b51f7f33f642a935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "453921f549319e667c39abf6aa1ddfa405b5a08c5f5582a55ee5d7b0d30ef2a5",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.RO",
    "submitted_at": "2025-03-10T07:52:30Z",
    "title_canon_sha256": "c81d86fe443dd3f03f3a7eaa28f5143c0600297461fa5f7922a94ff9949062fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.07013",
    "kind": "arxiv",
    "version": 2
  }
}